mld2p4-2:

Docs updates for DIAG/Gauss-Seidel

docs/html/node12.html

@@ -726,7 +726,7 @@ $w = y_1$;
 \begin{tabbing}
 \quad \=\quad...
 ...= y_l+r_l$\\
-\textbf{endfor} \ [1mm]
+\textbf{endfor}  [1mm]
 $w = y_1$;
 \end{tabbing}}
 \end{minipage}}">

docs/html/node18.html

@@ -191,7 +191,7 @@ according to their needs.
 
 <P>
 <BR><P></P>
-<DIV ALIGN="CENTER"><A NAME="1267"></A>
+<DIV ALIGN="CENTER"><A NAME="1271"></A>
 <TABLE>
 <CAPTION><STRONG>Table 2:</STRONG>
 Parameters defining the type of multi-level preconditioner.
@@ -214,11 +214,11 @@ Parameters defining the type of multi-level preconditioner.
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_smoother_type_</code> <BR><code>SMOOTHER_TYPE</code></TD>
 <TD ALIGN="LEFT"><code>character(len=*)</code></TD>
-<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=57><TT>'DIAG'</TT>    <TT>'BJAC'</TT>    <TT>'AS'</TT></TD>
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=57><TT>'JACOBI'</TT>    <TT>'BJAC'</TT>    <TT>'AS'</TT></TD>
 <TD ALIGN="LEFT"><TT>'AS'</TT></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Basic predefined one-level preconditioner
-                         (i.e. smoother): diagonal, 
-                           block Jacobi, AS.</TD>
+                         (i.e. smoother): Jacobi (with diagonal local
+                           solver), block Jacobi, AS.</TD>
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_smoother_pos_</code> <BR><code>SMOOTHER_POS</code></TD>
 <TD ALIGN="LEFT"><code>character(len=*)</code></TD>
@@ -236,7 +236,7 @@ Parameters defining the type of multi-level preconditioner.
 
 <P>
 <BR><P></P>
-<DIV ALIGN="CENTER"><A NAME="1269"></A>
+<DIV ALIGN="CENTER"><A NAME="1273"></A>
 <TABLE>
 <CAPTION><STRONG>Table 3:</STRONG>
 Parameters defining the one-level preconditioner used as smoother.
@@ -277,21 +277,25 @@ Parameters defining the one-level preconditioner used as smoother.
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_solve_</code> <BR><code>SUB_SOLVE</code></TD>
 <TD ALIGN="LEFT"><code>character(len=*)</code></TD>
-<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'ILU'</TT>   <TT>'MILU'</TT>   <TT>'ILUT'</TT> 
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'DIAG'</TT>  
+                           <TT>'GS'</TT>  
+                           <TT>'ILU'</TT>   
+                           <TT>'MILU'</TT>   <TT>'ILUT'</TT> 
                              <TT>'UMF'</TT>   <TT>'SLU'</TT></TD>
 <TD ALIGN="LEFT"><TT>'ILU'</TT></TD>
-<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Predefined local solver: ILU(<IMG
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Predefined local solver: diagonal scaling,
+                           Gauss-Seidel, ILU(<IMG
+ WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
+ SRC="img35.png"
+ ALT="$p$">),  MILU(<IMG
  WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
  SRC="img35.png"
  ALT="$p$">),
-                         MILU(<IMG
- WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img35.png"
- ALT="$p$">), ILU(<IMG
+                           ILU(<IMG
  WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
  SRC="img36.png"
- ALT="$p,t$">), LU from UMFPACK, LU  from SuperLU 
-                           (plus triangular solve).</TD>
+ ALT="$p,t$">), LU from UMFPACK, LU  from
+                           SuperLU (plus triangular solve).</TD>
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_fillin_</code> <BR><code>SUB_FILLIN</code></TD>
 <TD ALIGN="LEFT"><code>integer</code></TD>
@@ -328,6 +332,27 @@ Parameters defining the one-level preconditioner used as smoother.
                            reordering according to the global numbering of the rows and columns of
                            the whole matrix.</TD>
 </TR>
+<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_solver_sweeps_</code> <BR><code>SOLVER_SWEEPS</code></TD>
+<TD ALIGN="LEFT"><code>integer</code></TD>
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG
+ WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
+ SRC="img92.png"
+ ALT="$\ge 1$"></TD>
+<TD ALIGN="LEFT">1</TD>
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Number of sweeps for iterative local solver
+                           (currently only Gauss-Seidel).</TD>
+</TR>
+<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_solver_eps_</code> <BR><code>SOLVER_EPS</code></TD>
+<TD ALIGN="LEFT"><code>real</code></TD>
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real&nbsp;num.</TD>
+<TD ALIGN="LEFT">0</TD>
+<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Stopping tolerance for iterative local solver
+                           (currently only Gauss-Seidel); if <IMG
+ WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
+ SRC="img93.png"
+ ALT="$\le0$">, then
+                           perform prespecified number of iterations.</TD>
+</TR>
 </TABLE>
 </DIV>
 </TD></TR>
@@ -337,7 +362,7 @@ Parameters defining the one-level preconditioner used as smoother.
 
 <P>
 <BR><P></P>
-<DIV ALIGN="CENTER"><A NAME="1271"></A>
+<DIV ALIGN="CENTER"><A NAME="1275"></A>
 <TABLE>
 <CAPTION><STRONG>Table 4:</STRONG>
 Parameters defining the aggregation algorithm.
@@ -381,28 +406,28 @@ Parameters defining the aggregation algorithm.
 <TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>Any&nbsp;real&nbsp;num. <IMG
  WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
- SRC="img92.png"
+ SRC="img94.png"
  ALT="$\in [0, 1]$"></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>0.05</TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=170>Threshold <IMG
  WIDTH="13" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
- SRC="img93.png"
+ SRC="img95.png"
  ALT="$\theta$"> in the aggregation algorithm.</TD>
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_aggr_scale_</code> <BR><code>AGGR_SCALE</code></TD>
 <TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>Any&nbsp;real&nbsp;num. <IMG
  WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
- SRC="img92.png"
+ SRC="img94.png"
  ALT="$\in [0, 1]$"></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>1.0</TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=170>Scale factor applied to the threshold going
  from level <IMG
  WIDTH="33" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
- SRC="img94.png"
+ SRC="img96.png"
  ALT="$ilev$"> to level <IMG
  WIDTH="63" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
- SRC="img95.png"
+ SRC="img97.png"
  ALT="$ilev+1$">.</TD>
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_aggr_omega_alg_</code>  <BR><code>AGGR_OMEGA_ALG</code></TD>
@@ -440,7 +465,7 @@ Parameters defining the aggregation algorithm.
  -->
 <IMG
  WIDTH="113" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img96.png"
+ SRC="img98.png"
  ALT="$4/(3\rho(D^{-1}A))$"></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=170>Damping parameter <IMG
  WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
@@ -452,7 +477,7 @@ Parameters defining the aggregation algorithm.
                            otherwise it is computed by the library, using the
                            selected estimate of the spectral radius <IMG
  WIDTH="73" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img97.png"
+ SRC="img99.png"
  ALT="$\rho(D^{-1}A)$"> of
                            <IMG
  WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
@@ -468,7 +493,7 @@ Parameters defining the aggregation algorithm.
 
 <P>
 <BR><P></P>
-<DIV ALIGN="CENTER"><A NAME="1274"></A>
+<DIV ALIGN="CENTER"><A NAME="1278"></A>
 <TABLE>
 <CAPTION><STRONG>Table 5:</STRONG>
 Parameters defining the coarse-space correction at the coarsest
@@ -526,7 +551,7 @@ level.</CAPTION>
 <TD ALIGN="LEFT"><code>integer</code></TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG
  WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img98.png"
+ SRC="img100.png"
  ALT="$&gt; 0$"></TD>
 <TD ALIGN="LEFT">4</TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Number of Block-Jacobi sweeps when 'BJAC' is used as

docs/html/node20.html

@@ -69,14 +69,14 @@ This routine computes <!-- MATH
  -->
 <IMG
  WIDTH="117" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img99.png"
+ SRC="img101.png"
  ALT="$y = op(M^{-1})  x$">, where <IMG
  WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
  SRC="img60.png"
  ALT="$M$"> is a previously built
 preconditioner, stored into <code>p</code>, and <IMG
  WIDTH="22" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img100.png"
+ SRC="img102.png"
  ALT="$op$">
 denotes the preconditioner itself or its transpose, according to
 the value of <code>trans</code>.
@@ -106,7 +106,7 @@ and hence it is completely transparent to the user.
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The local part of the vector <IMG
  WIDTH="14" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
- SRC="img101.png"
+ SRC="img103.png"
  ALT="$x$">. Note that <I>type</I> and   
                 <I>kind_parameter</I> must be chosen according
                 to the real/complex, single/double precision version of MLD2P4 under use.</TD>
@@ -117,7 +117,7 @@ and hence it is completely transparent to the user.
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD>
 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The local part of the vector <IMG
  WIDTH="14" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
- SRC="img102.png"
+ SRC="img104.png"
  ALT="$y$">. Note that <I>type</I> and
                 <I>kind_parameter</I> must be chosen according
                 to the real/complex, single/double precision version of MLD2P4 under use.</TD>
@@ -144,28 +144,28 @@ and hence it is completely transparent to the user.
  -->
 <IMG
  WIDTH="132" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img103.png"
+ SRC="img105.png"
  ALT="$op(M^{-1}) = M^{-1}$">;
                 if <code>trans</code> = <code>'T','t'</code> then <!-- MATH
  $op(M^{-1}) = M^{-T}$
  -->
 <IMG
  WIDTH="135" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
- SRC="img104.png"
+ SRC="img106.png"
  ALT="$op(M^{-1}) = M^{-T}$">
                 (transpose of <IMG
  WIDTH="48" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img105.png"
+ SRC="img107.png"
  ALT="$M^{-1})$">;  if <code>trans</code> = <code>'C','c'</code> then <!-- MATH
  $op(M^{-1}) = M^{-C}$
  -->
 <IMG
  WIDTH="136" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
- SRC="img106.png"
+ SRC="img108.png"
  ALT="$op(M^{-1}) = M^{-C}$">
                 (conjugate transpose of <IMG
  WIDTH="48" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
- SRC="img105.png"
+ SRC="img107.png"
  ALT="$M^{-1})$">.</TD>
 </TR>
 <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>work</code></TD>

docs/mld2p4-2.1-guide.pdf

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 Q
 BT
-/F44 10.9091 Tf 423.773 806.138 Td [(character\050len=*\051)]TJ
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 ET
 q
-1 0 0 1 536.768 761.426 cm
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 Q
 BT
-/F44 10.9091 Tf 542.746 806.138 Td [('SUM')]TJ 0 -13.549 Td [('NONE')]TJ
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 ET
 q
-1 0 0 1 639.432 761.426 cm
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 Q
 BT
-/F44 10.9091 Tf 645.41 806.138 Td [('NONE')]TJ
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 ET
 q
-1 0 0 1 718.51 761.426 cm
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 Q
 BT
-/F15 10.9091 Tf 724.488 806.138 Td [(T)28(yp)-28(e)-560(of)-561(prolon)1(gation)-561(op)-27(e)-1(r)1(a-)]TJ 0 -13.549 Td [(tor:)]TJ/F44 10.9091 Tf 21.445 0 Td [('SUM')]TJ/F15 10.9091 Tf 31.465 0 Td [(for)-259(adding)-260(th)1(e)-260(con-)]TJ -52.91 -13.549 Td [(tributions)-622(from)-623(t)1(he)-623(o)28(v)28(erlap,)]TJ/F44 10.9091 Tf 0 -13.55 Td [('NONE')]TJ/F15 10.9091 Tf 37.999 0 Td [(for)-333(neglecting)-334(them.)]TJ
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 ET
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 BT
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 ET
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-/F44 10.9091 Tf 423.773 751.543 Td [(character\050len=*\051)]TJ
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 ET
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-/F44 10.9091 Tf 645.41 751.543 Td [('ILU')]TJ
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 ET
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 ET
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-1 0 0 1 417.795 665.784 cm
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-/F44 10.9091 Tf 423.773 683.398 Td [(integer)]TJ
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-1 0 0 1 536.768 665.784 cm
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 ET
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-1 0 0 1 417.795 638.287 cm
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-/F44 10.9091 Tf 423.773 655.901 Td [(real\050)]TJ/F18 10.9091 Tf 28.636 0 Td [(kind)]TJ
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 ET
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 ET
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 ET
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docs/src/userinterface.tex

@@ -192,11 +192,11 @@ according to their needs.
                          & Basic multi-level framework: additive or multiplicative
                            among the levels (always additive inside a level).         \\ \hline 
 \verb|mld_smoother_type_| \break \verb|SMOOTHER_TYPE|  & \verb|character(len=*)|
-                         & \texttt{'DIAG'} \ \ \ \texttt{'BJAC'} \ \ \ \texttt{'AS'}
+                         & \texttt{'JACOBI'} \ \ \ \texttt{'BJAC'} \ \ \ \texttt{'AS'}
                          & \texttt{'AS'}
                          & Basic predefined one-level preconditioner
-                         (i.e.\ smoother): diagonal, 
-                           block Jacobi, AS. \\ \hline
+                         (i.e.\ smoother): Jacobi (with diagonal local
+                           solver), block Jacobi, AS. \\ \hline
 \verb|mld_smoother_pos_| \break \verb|SMOOTHER_POS| & \verb|character(len=*)|
                          & \texttt{'PRE'} \ \ \ \texttt{'POST'} \ \ \ \texttt{'TWOSIDE'}
                          & \texttt{'TWOSIDE'}
@@ -233,12 +233,16 @@ according to their needs.
                            \texttt{'SUM'} for adding the contributions from the overlap, \texttt{'NONE'}
                            for neglecting them.   \\ \hline
 \verb|mld_sub_solve_| \break \verb|SUB_SOLVE|    & \verb|character(len=*)|
-                         & \texttt{'ILU'} \hspace{2.5cm} \texttt{'MILU'} \hspace{2.5cm} \texttt{'ILUT'} 
+                         & \texttt{'DIAG'} \hspace{2.5cm}
+                           \texttt{'GS'} \hspace{2.5cm}
+                           \texttt{'ILU'} \hspace{2.5cm} 
+                           \texttt{'MILU'} \hspace{2.5cm} \texttt{'ILUT'} 
                            \hspace{2.5cm} \texttt{'UMF'} \hspace{2.5cm} \texttt{'SLU'}
                          & \texttt{'ILU'}
-                         & Predefined local solver: ILU($p$),
-                         MILU($p$), ILU($p,t$), LU from UMFPACK, LU  from SuperLU 
-                           (plus triangular solve). \\ \hline  
+                         & Predefined local solver: diagonal scaling,
+                           Gauss-Seidel, ILU($p$),  MILU($p$),
+                           ILU($p,t$), LU from UMFPACK, LU  from
+                           SuperLU (plus triangular solve). \\ \hline  
 \verb|mld_sub_fillin_| \break \verb|SUB_FILLIN|  & \verb|integer|
                          & Any~int.~num.~$\ge 0$
                          & 0
@@ -253,6 +257,17 @@ according to their needs.
                          & Row and column reordering of the local submatrices: no reordering,
                            reordering according to the global numbering of the rows and columns of
                            the whole matrix. \\
+\verb|mld_solver_sweeps_| \break \verb|SOLVER_SWEEPS|  & \verb|integer|
+                         & Any~int.~num.~$\ge 1$
+                         & 1
+                         & Number of sweeps for iterative local solver
+                           (currently only Gauss-Seidel). \\ \hline
+\verb|mld_solver_eps_| \break \verb|SOLVER_EPS|  & \verb|real|
+                         & Any~real~num.
+                         & 0
+                         & Stopping tolerance for iterative local solver
+                           (currently only Gauss-Seidel); if $\le0$, then
+                           perform prespecified number of iterations. \\ \hline
 \hline
 \end{tabular}
 \end{center}

mlprec/mld_base_prec_type.F90

@@ -379,7 +379,7 @@ contains
       val = mld_slu_
     case('SLUDIST')
       val = mld_sludist_
-    case('DSCALE')
+    case('DIAG')
       val = mld_diag_scale_
     case('ADD')
       val = mld_add_ml_
@@ -409,8 +409,6 @@ contains
       val = mld_twoside_smooth_
     case('NOPREC')
       val = mld_noprec_
-! !$    case('DIAG')
-! !$      val = mld_diag_
     case('BJAC')
       val = mld_bjac_
     case('JAC','JACOBI')

tests/pdegen/Makefile

@@ -11,7 +11,7 @@ FINCLUDES=$(FMFLAG). $(FMFLAG)$(MLDINCDIR)  $(FMFLAG)$(PSBINCDIR) $(FIFLAG).
 
 EXEDIR=./runs
 
-all: spde3d ppde3d spde2d ppde2d
+all: spde3d ppde3d spde2d ppde2d ppde3d_gs
 
 ppde3d: ppde3d.o  data_input.o
 	$(F90LINK) ppde3d.o  data_input.o -o ppde3d $(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
@@ -30,8 +30,11 @@ spde2d: spde2d.o   data_input.o
 	$(F90LINK) spde2d.o  data_input.o -o spde2d $(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
 	/bin/mv spde2d $(EXEDIR)
 
+ppde3d_gs: ppde3d_gs.o  data_input.o
+	$(F90LINK) ppde3d_gs.o  data_input.o -o ppde3d_gs $(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
+	/bin/mv ppde3d_gs $(EXEDIR)
 
-ppde3d.o spde3d.o ppde2d.o spde2d.o: data_input.o 
+ppde3d_gs.o ppde3d.o spde3d.o ppde2d.o spde2d.o: data_input.o 
 
 check: all
 	cd runs && ./ppde2d <ppde.inp && ./spde2d<ppde.inp